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Finding the Fourth Proportional to 11,002.35, 16,510.38 and 6,850.50

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Solution

The fourth proportional to 11,002.35, 16,510.38 and 6,850.50 is: 10,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.35 : 16,510.38 = 6,850.50 : x
  2. Step 2: Convert to fraction form
    11,002.35/16,510.38 = 6,850.50/x
  3. Step 3: Cross multiply
    11,002.35x = 16,510.38 × 6,850.50
  4. Step 4: Simplify right side
    11,002.35x = 113,104,358.19
  5. Step 5: Solve for x
    x = 113,104,358.19/11,002.35
  6. Step 6: Final answer
    x = 10,280.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.